Rs Aggarwal 2019 Solutions for Class 8 Math Chapter 24 Pie Charts are provided here with simple step-by-step explanations. These solutions for Pie Charts are extremely popular among Class 8 students for Math Pie Charts Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Rs Aggarwal 2019 Book of Class 8 Math Chapter 24 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Rs Aggarwal 2019 Solutions. All Rs Aggarwal 2019 Solutions for class Class 8 Math are prepared by experts and are 100% accurate.

Page No 274:

Question 1:

The monthly income of family is ₹ 28800. The monthly expenditure of the family on various items is given below.

Item Rent Food Clothing Education Saving
Expenditure (in ₹) 8000 10800 5600 3600 800
Represent the above data by a pie chart.

Answer:

Monthly income of the family = ₹28,800

Central angle for each item=Expenditure per month on various itemsMonthly income×360°

Calculation of central angles

Items Expenditure(in ₹) Central angle
Rent 8000 100º
Food 10800 135º
Clothing 5600 70º
Education 3600 45º
Savings 800 10º

Construction of pie chart
Steps of construction
1. Draw a circle of any convenient radius.
2. Draw a horizontal radius of this circle.
3. Draw sectors whose central angles are 100º, 135º, 70º, 45º and 10º.
4. Shade the sectors so obtained differently and label each one of them.
Thus, the pie chart is obtained as follows.



Page No 275:

Question 2:

There are 900 creatures in a zoo as per list given below:
 

Beast animals Other land animals Birds Water animals Reptiles
150 400 175 125 50

Represent the above data by a pie chart.

Answer:

Total number of creatures=900Central angle of each component=number of creatures in each typetotal number of creatures×360°Calculation of central angles
 

Creatures Number of creatures Central angle
Beast animals 150 60°
Other land animals 400 160°
Birds 175 70°
Water animals 125 50°
Reptiles 50 20°
 







Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of this circle.3. Draw sectors whose central angles are 60°, 160°, 70°, 50° and 20°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 3:

Various modes of transport used by 1260 students in a given school are given below:
 

School bus Private bus Bicycle Rickshaw On foot
350 245 210 175 280

Represent the above data by a pie chart.

Answer:

Total number of students=1260Central angle of each component=number of students using that modetotal number of students×360°Calculation of central angles
 

Mode of transport Number of students Central angle
School bus 350 100°
Private bus 245 70°
Bicycle 210 60°
Rickshaw 175 50°
On foot 280 80°
 







Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of this circle.3. Draw sectors whose central angles are 100°, 70°, 60°, 50° and 80°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 4:

The data given below shows number of hours spent by a school boy on different activities on a working day.
 

Activity School Homework Play Sleep Others Total
Number of hours 7 4 2 8 3 24

Represent the above data by a pie chart.

Answer:

Total number of hours=24Central angle of each component=number of hours spent on each activitytotal number of hours×360°Calculation of central angles
 

Activity Number of hours Central angle
School 7 105°
Home work 4 60°
Play 2 30°
Sleep 8 120°
Others 3 45°








Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of this circle.3. Draw sectors whose central angles are 105°, 60°, 30°, 120° and 45°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 5:

The data on religion wise division of 1080 workers of a factory are given below:
 

Religion Hindu Muslim Sikh Christian
Number of workers 450 270 255 105

Draw a pie chart to represent the above data.

Answer:

Total number of workers=1080Central angle of each religion=number of workers in each religiontotal number of workers×360°Calculation of central angles
 

Religion Marks obtained Central angle
Hindu 450 150°
Muslim 270 90°
Sikh 255 85°
Christian 105 35°







Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of this circle.3. Draw sectors whose central angles are 150°, 90°, 85° and 35°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 6:

The marks obtained by Sudhir in an examination are given below:
 

Subject English Hindi Mathematics Science Social science
Marks obtained 105 75 150 120 90

Represent the above data by a pie chart.

Answer:

Total marks obtained=105+75+150+120+90=540Central angle of each subject=marks obtained in each subjecttotal marks obtained×360°Calculation of central angles
 

Subject Marks obtained Central angle
English 105 70°
Hindi 75 50°
Mathematics 150 100°
Science 120 80°
Social science 90 60°








Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of this circle.3. Draw sectors whose central angles are 70°, 50°, 100°, 80° and 60°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 7:

The following table gives the number of different fruits kept in a hamper.
 

Type of fruit Mangoes Apples Oranges Coconuts Pomegranates
Number 26 30 21 5 8

Represent the above data by a pie chart.

Answer:

Total number of fruits=26+30+21+5+8=90Central angle of each fruit=number of each type of fruittotal number of fruits×360°Calculation of central angles
 

Types of fruit Number Central angle
Mangoes 26 104°
Apples 30 120°
Oranges 21 84°
Coconuts 5 20°
Pomegranates 8 32°








Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of the circle.3. Draw sectors whose central angles are 104°, 120°, 84°, 20° and 32°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 275:

Question 8:

The following data shows the agricultural production in India during a certain year.
 

Foodgrain Rice Wheat Coarse cereals Pulses
Production (in millions of tonnes) 57 76 38 19

Draw a pie chart to represent the above data.

Answer:

Total production=57+76+38+19=190Central angle of each foodgrain=production of each foodgraintotal production×360°Calculation of central angles
 

Food grain production (in millions of tonnes) Central angle
Rice 57 108°
Wheat 76 144°
Coarse cereals 38 72°
Pulses 19 36°









Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of the circle.3. Draw sectors whose central angles are 108°, 144°, 72° and 36°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 



Page No 276:

Question 9:

Given below is the result of an annual examination of a class, showing the percentage of students in each category.
 

First division Second division Third division Failed
25% 45% 20% 10%

Represent the above data by a pie chart.

Answer:

Total percentage=100Central angle of each category=value in % of each category100×360°Calculation of central angles
 

Category Result (in %) Central angle
First division 25 90°
Second division 45 162°
Third division 20 72°
Failed 10 36°







Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of the circle.3. Starting from the horizontal radius, draw sectors whose central angles are 90°, 162°, 72° and 36°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 276:

Question 10:

The following table shows the percentages of buyers of four different brands of bathing soaps.
 

Brand A B C D
Percentage of buyers 20% 40% 25% 15%

Represent the above data by a pie chart.

Answer:

Total percentage=100Central angle of each brand=value in % of each brand 100×360°Calculation of central angles:
 

Brand Buyers (in %) Central angle
A 20 72°
B 40 144°
C 25 90°
D 15 54°







Construction of pie chartSteps of construction:1. Draw a circle of any convenient radius.2. Draw a horizontal radius of the circle.3. Draw sectors whose central angles are 72°, 144°, 90° and 54°.4. Shade the sectors so obtained differently and label each one of them.Thus, we obtain the required pie chart as shown in the figure below. 

Page No 276:

Question 1:

Tick (✓) the correct answer:
A man's monthly salary is Rs 2400 and his monthly expenses on travel are Rs 250. The central angle of the sector representing travel expenses in the pie chart would be
(a) 30°
(b) 3712°
(c) 45°
(d) 60°

Answer:

(b) 3712°
Central angle of the sector representing travel expenses=value of expenses on travelmonthly income×360°
                                                              =2502400×360°=3712°

Page No 276:

Question 2:

Tick (✓) the correct answer:
If 35% of the people residing in a locality are Sikhs then the central angle of the sector representing the Sikh community in the pie chart would be
(a) 108°
(b) 115°
(c) 126°
(d) 135°

Answer:

(c) 126°
Central angle of the sector representing the sikh community=value in % of the sikh community100×360°
                                                                    =35100×360°=126°

Page No 276:

Question 3:

Tick (✓) the correct answer:
If in the pie chart representing the number of students opting for different streams of study out of a total strength of 1650 students, the central angle of the sector representing arts students is 48° then what is the number of students who opted for arts stream?
(a) 220
(b) 240
(c) 275
(d) 320

Answer:

(a) 220

Let the required number of students be x. Then we have:x1650×360=48360x1650=48x=48×1650360x=220Hence, the number of students who opted for arts stream is 220.

Page No 276:

Question 4:

Tick (✓) the correct answer:
In the pie chart representing the percentages of students having interest in reading various kinds of books, the central angle of the sector representing students reading novels is 81°. What is the percentage of students interested in reading novels?
(a) 15%
(b) 18%
(c) 2212%
(d) 2712%

Answer:

(c) 2212%

Let the required percentage be x. Then we have:x100×360=81360x100=81x=81×100360x=452x=2212Hence, the percentage of students who are interested in reading novels is 2212%.



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